Green's function topology of Majorana wires
We represent the $\mathbb {Z}_2$ topological invariant characterizing a one-dimensional topological superconductor using a Wess–Zumino–Witten dimensional extension. The invariant is formulated in terms of the single-particle Green's function which allows us to classify interacting systems. Empl...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/6/065006 |
| _version_ | 1797751566595260416 |
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| author | Jan Carl Budich Björn Trauzettel |
| author_facet | Jan Carl Budich Björn Trauzettel |
| author_sort | Jan Carl Budich |
| collection | DOAJ |
| description | We represent the $\mathbb {Z}_2$ topological invariant characterizing a one-dimensional topological superconductor using a Wess–Zumino–Witten dimensional extension. The invariant is formulated in terms of the single-particle Green's function which allows us to classify interacting systems. Employing a recently proposed generalized Berry curvature method, the topological invariant is represented independent of the extra dimension requiring only the single-particle Green's function at zero frequency of the interacting system. Furthermore, a modified twisted boundary conditions approach is used to rigorously define the topological invariant for disordered interacting systems. |
| first_indexed | 2024-03-12T16:51:24Z |
| format | Article |
| id | doaj.art-35acaf03e048443bb3cac05649b0aec7 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:51:24Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-35acaf03e048443bb3cac05649b0aec72023-08-08T11:10:13ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115606500610.1088/1367-2630/15/6/065006Green's function topology of Majorana wiresJan Carl Budich0Björn Trauzettel1Department of Physics, Stockholm University , SE-106 91 Stockholm, SwedenInstitute for Theoretical Physics and Astrophysics, University of Würzburg , D-97074 Würzburg, GermanyWe represent the $\mathbb {Z}_2$ topological invariant characterizing a one-dimensional topological superconductor using a Wess–Zumino–Witten dimensional extension. The invariant is formulated in terms of the single-particle Green's function which allows us to classify interacting systems. Employing a recently proposed generalized Berry curvature method, the topological invariant is represented independent of the extra dimension requiring only the single-particle Green's function at zero frequency of the interacting system. Furthermore, a modified twisted boundary conditions approach is used to rigorously define the topological invariant for disordered interacting systems.https://doi.org/10.1088/1367-2630/15/6/065006 |
| spellingShingle | Jan Carl Budich Björn Trauzettel Green's function topology of Majorana wires New Journal of Physics |
| title | Green's function topology of Majorana wires |
| title_full | Green's function topology of Majorana wires |
| title_fullStr | Green's function topology of Majorana wires |
| title_full_unstemmed | Green's function topology of Majorana wires |
| title_short | Green's function topology of Majorana wires |
| title_sort | green s function topology of majorana wires |
| url | https://doi.org/10.1088/1367-2630/15/6/065006 |
| work_keys_str_mv | AT jancarlbudich greensfunctiontopologyofmajoranawires AT bjorntrauzettel greensfunctiontopologyofmajoranawires |